What is the limit as x approaches 0 of (3e^x-3)/x ?

The limit as x approaches 0 of (3e^x-3)/x is 3

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limit as x approaches 0 of (3e^x-3)/x

x \to 0 lim (\frac{3 e ^{x} - 3}{x})

3

Solution steps

x \to 0 lim (\frac{3 e ^{x} - 3}{x})

Apply L'Hopital's Rule

: x \to 0 lim (\frac{3 e ^{x}}{1})

= x \to 0 lim (\frac{3 e ^{x}}{1})

Plug in the value

x = 0

= \frac{3 e ^{0}}{1}

Simplify

= 3

x \to \infty lim (- 5 x^{6} - 6 x^{4} - x^{3} + 7 x)

\int \frac{( ln ( x ^{9} ) )}{x} d x

\frac{d}{d x} (2 x^{3} - 3 x^{2} - 12 x + 1)

\frac{1}{5 x ^{2} + 6 x}

\frac{\partial}{\partial x} (16 3 y + 2 x)

What is the limit as x approaches 0 of (3e^x-3)/x ?
The limit as x approaches 0 of (3e^x-3)/x is 3